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Finding the Fourth Proportional to 13,478.85, 20,209.52 and 6,458.69

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Solution

The fourth proportional to 13,478.85, 20,209.52 and 6,458.69 is: 9,683.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478.85 : 20,209.52 = 6,458.69 : x
  2. Step 2: Convert to fraction form
    13,478.85/20,209.52 = 6,458.69/x
  3. Step 3: Cross multiply
    13,478.85x = 20,209.52 × 6,458.69
  4. Step 4: Simplify right side
    13,478.85x = 130,526,891.39
  5. Step 5: Solve for x
    x = 130,526,891.39/13,478.85
  6. Step 6: Final answer
    x = 9,683.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.